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131000324244020 = 225721119679546083
BaseRepresentation
bin11101110010010011100011…
…110010101100001000110100
3122011211111201211120000102122
4131302103203302230020310
5114132302131001302040
61142340415042055112
736410314104403400
oct3562234362541064
9564744654500378
10131000324244020
1138816a1a956490
12128388a764a498
13581337ba8989a
14244c6416ca100
15102294450c1b5
hex7724e3cac234

131000324244020 has 288 divisors, whose sum is σ = 372966265566720. Its totient is φ = 38104904597760.

The previous prime is 131000324244019. The next prime is 131000324244079. The reversal of 131000324244020 is 20442423000131.

It is a super-2 number, since 2×1310003242440202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8949899 + ... + 18495981.

It is an arithmetic number, because the mean of its divisors is an integer number (1295021755440).

Almost surely, 2131000324244020 is an apocalyptic number.

131000324244020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000324244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186483132783360).

131000324244020 is an abundant number, since it is smaller than the sum of its proper divisors (241965941322700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131000324244020 is a wasteful number, since it uses less digits than its factorization.

131000324244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546203 (or 9546194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 131000324244020 its reverse (20442423000131), we get a palindrome (151442747244151).

The spelling of 131000324244020 in words is "one hundred thirty-one trillion, three hundred twenty-four million, two hundred forty-four thousand, twenty".